42749952000 has 768 divisors, whose sum is σ = 167828319360. Its totient is φ = 9633792000.

The previous prime is 42749951939. The next prime is 42749952001. The reversal of 42749952000 is 25994724.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42749952001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602111965 + ... + 602112035.

Almost surely, 2^42749952000 is an apocalyptic number.

42749952000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42749952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83914159680).

42749952000 is an abundant number, since it is smaller than the sum of its proper divisors (125078367360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42749952000 is an frugal number, since it uses more digits than its factorization.

42749952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 42749952000 in words is "forty-two billion, seven hundred forty-nine million, nine hundred fifty-two thousand".